二重Dirichlet级数的增长性

The Growth of Double Dirichlet Series

首先研究了双平面上二重Dirichlet级数的系数和指数与增长性之间的关系,得到了θ线性下级的一个充要条件,然后在适当的条件下,对二重Dirichlet级数所确定的整函数在双水平直线上的θ线性级进行了估计。

In this paper, the authors first study the relations between the coefficients, exponents, and growth of double Dirichlet series, and obtain a necessary and sufficient condition of θ linear lower order, and further give an estimate of θ linear order of double Dirichlet series in every pair of horizontal straight lines.